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Finding the Fourth Proportional to 87,552, 120,822.40 and 47,808

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Solution

The fourth proportional to 87,552, 120,822.40 and 47,808 is: 65,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,552 : 120,822.40 = 47,808 : x
  2. Step 2: Convert to fraction form
    87,552/120,822.40 = 47,808/x
  3. Step 3: Cross multiply
    87,552x = 120,822.40 × 47,808
  4. Step 4: Simplify right side
    87,552x = 5,776,277,299.20
  5. Step 5: Solve for x
    x = 5,776,277,299.20/87,552
  6. Step 6: Final answer
    x = 65,975.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.